Math Problem Statement
The symbols ⋆, □ and △ represent different integers between 1 and 9, inclusive. Using the equations below, find the sum of all the possible values of □.
⋆+□△+△△+⋆+⋆+⋆=△=□+□+□=□+□+□
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Equations
Integer Solutions
Formulas
△ = 3□
4⋆ + □×△ + △×△ = △
Theorems
None explicitly involved, but integer constraints and system of equations concepts are applied.
Suitable Grade Level
Grades 8-10
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